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010   $a3-319-02747-6
024 7 $a10.1007/978-3-319-02747-0
035   $a(OCoLC)878969978
035   $a(MiFhGG)GVRL6WCT
035   $a(EXLCZ)993710000000074886
100   $a20130927d2014      uy             0
101 0 $aeng
135   $aurun|---uuuua
181   $ctxt
182   $cc
183   $acr
200 10$aQuantum variational calculus /$fAgnieszka B. Malinowska, Delfim F.M. Torres
205   $a1st ed. 2014.
210  1$aCham, Switzerland :$cSpringer,$d2014.
215   $a1 online resource (xviii, 84 pages) $cillustrations
225 1 $aSpringerBriefs in Control, Automation and Robotics,$x2192-6786
300   $a"ISSN: 2191-8112."
300   $a"ISSN: 2191-8120 (electronic)."
311   $a3-319-02746-8 
320   $aIncludes bibliographical references and index.
327   $aThe Classical Calculus of Variations -- The Hahn Quantum Variational Calculus -- The Power Quantum Calculus -- Conclusion.
330   $aThis Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of its results is that they are able to deal with nondifferentiable (even discontinuous) functions, which are important in applications. Possible applications in economics are discussed. Economists model time as continuous or discrete. Although individual economic decisions are generally made at discrete time intervals, they may well be less than perfectly synchronized in ways discrete models postulate. On the other hand, the usual assumption that economic activity takes place continuously, is nothing else than a convenient abstraction that in many applications is far from reality. The Hahn quantum calculus helps to bridge the gap between the two families of models: continuous and discrete. Quantum Variational Calculus is self-contained and unified in presentation. It provides an opportunity for an introduction to the quantum calculus of variations for experienced researchers but may be used as an advanced textbook by graduate students and even ambitious undergraduates as well. The explanations in the book are detailed to capture the interest of the curious reader, and complete to provide the necessary background material needed to go further into the subject and explore the rich research literature, motivating further research activity in the area.
410  0$aSpringerBriefs in electrical and computer engineering.$pControl, automation and robotics.
606   $aCalculus of variations
606   $aVariational principles
615  0$aCalculus of variations.
615  0$aVariational principles.
676   $a515.64
700   $aMalinowska$b Agnieszka B$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755557
702   $aTorres$b Delfim F. M.
801  0$bMiFhGG
801  1$bMiFhGG
906   $aBOOK
912   $a9910299475103321
996   $aQuantum Variational Calculus$92089178
997   $aUNINA